Topological Hausdorff dimension and Poincaré inequality

DOI10.17398/2605-5686.37.2.211MaRDI QIDQ6177890

Claudio A. DiMarco

Publication date: 18 January 2024

Published in: Extracta Mathematicae (Search for Journal in Brave)

zbMATH Keywords

metric spaceHausdorff dimensionPoincaré inequalityAhlfors regulartopological dimensionbi-Lipschitz mapcantor sets

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78)

Cites Work

• Unnamed Item
• Nonlinear potential theory on metric spaces
• Lectures on analysis on metric spaces
• A new fractal dimension: the topological Hausdorff dimension
• Modulus and Poincaré inequalities on non-self-similar Sierpiński carpets
• The μ-topological Hausdoff dimension
• Duality of moduli in regular metric spaces
• Sobolev Spaces on Metric Measure Spaces

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